Midpoint and Distance Formula

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the midpoint formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

Distance = 5

Front

If the points are (3, 4) and (7, 1), what is the distance between them?

Back

Distance = 5

Front

Find the midpoint of the points (2, 3) and (4, 7).

Back

Midpoint = (3, 5)

Front

What does the distance formula represent in a coordinate plane?

Back

It represents the straight-line distance between two points.

Front

How do you derive the distance formula from the Pythagorean theorem?

Back

By considering the distance as the hypotenuse of a right triangle formed by the differences in x and y coordinates.

Front

What is the significance of the midpoint in geometry?

Back

It divides a line segment into two equal parts.

Front

Given points (0, 0) and (3, 4), what is the distance between them?

Back

Distance = 5

Front

If the midpoint of a segment is (5, 5) and one endpoint is (3, 7), what is the other endpoint?

Back

(7, 3)